Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods
Résumé
Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit Euler method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
Domaines
Automatique / Robotique| Origine | Fichiers produits par l'(les) auteur(s) |
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